Ask a Question

Prefer a chat interface with context about you and your work?

Tame fundamental groups of pure pairs and Abhyankar’s lemma

Tame fundamental groups of pure pairs and Abhyankar’s lemma

Let (R, m, k) be a strictly local normal k-domain of positive characteristic and P a prime divisor on X = Spec R. We study the Galois category of finite covers over X that are at worst tamely ramified over P in the sense of Grothendieck-Murre.Assuming that (X, P) is …